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Finding the Fourth Proportional to 252,086.95, 347,875.50 and 137,366.58

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Solution

The fourth proportional to 252,086.95, 347,875.50 and 137,366.58 is: 189,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,086.95 : 347,875.50 = 137,366.58 : x
  2. Step 2: Convert to fraction form
    252,086.95/347,875.50 = 137,366.58/x
  3. Step 3: Cross multiply
    252,086.95x = 347,875.50 × 137,366.58
  4. Step 4: Simplify right side
    252,086.95x = 47,786,467,453.89
  5. Step 5: Solve for x
    x = 47,786,467,453.89/252,086.95
  6. Step 6: Final answer
    x = 189,563.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.